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                                                                    EXHIBIT 23.5
 
                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS
 
     We hereby consent to the incorporation by reference in the proxy
statement/prospectus constituting part of this Registration Statement on Form
S-4 of Chevron Corporation of our report dated February 9, 1998, appearing on
page C-7 of Chevron's Annual Report on Form 10-K for the year ended December 31,
1997. We also consent to the reference to us under the heading "Experts" in such
proxy statement/ prospectus.
 
KPMG LLP
February 11, 1999